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# Recent problems solved by 'rfer'

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 Travel_Word_Problems/256353: simbson drives his car with an average velocity of 85 km/h eastward. how long will it take him to drive 560km on a perfect straight highway?1 solutions Answer 188474 by rfer(12644)   on 2010-01-13 00:33:01 (Show Source): You can put this solution on YOUR website!560/85=6.6 hrs=6 hrs 36 min
 Angles/255900: The measure of an angle is 5 less than 4 times the measure of the other angle. If the two angles are supplementary angles, find the measure of each angle.1 solutions Answer 188151 by rfer(12644)   on 2010-01-11 23:20:54 (Show Source): You can put this solution on YOUR website!x+4x-5=180 5x=185 x=37 degrees 4x-5=143 degrees
 Angles/255883: if one of two supplementary angles is 16 degrees smaller then three times the other, what is the measure of the larger angle?1 solutions Answer 188150 by rfer(12644)   on 2010-01-11 23:16:51 (Show Source): You can put this solution on YOUR website!x+3x-16=180 4x=196 x=49 degrees 3x-16=131 degrees
 Quadratic_Equations/255936: 2x + 3y = 15 find the slope1 solutions Answer 188148 by rfer(12644)   on 2010-01-11 23:11:33 (Show Source): You can put this solution on YOUR website!2x+3y=15 3y=2x+15 y=2/3x+15 m=slope=2/3
 Miscellaneous_Word_Problems/255958: A check processor can process 1,500 checks in 20 minutes. How many checks can the equipment process in 2 hours?1 solutions Answer 188146 by rfer(12644)   on 2010-01-11 23:08:06 (Show Source): You can put this solution on YOUR website!1500*6=9000
 Linear_Algebra/255437: plz help me define variables and write an equation for each phrase. The length of the trip is 35 minutes plus extra time spent in traffic.1 solutions Answer 187778 by rfer(12644)   on 2010-01-10 22:43:08 (Show Source): You can put this solution on YOUR website!35+x
 Rectangles/255441: A length of a rectangle is 8 times its width. The perimeter of the rectangle is 216 inches. What is the algebraic equation you would use to slove this problem? What is the length of the rectangle?1 solutions Answer 187777 by rfer(12644)   on 2010-01-10 22:42:03 (Show Source): You can put this solution on YOUR website!2x+2*8x=216 2x+16x=216 18x=216 x=12 in 8x=96 in
 Money_Word_Problems/255450: Nick has 3 times the money Stacey has and Lindsey has 4 times thes money that stacey has. If Rick's \$120.00 is added to the group the average amt. of money the four have is \$150. How much money does each person have?1 solutions Answer 187776 by rfer(12644)   on 2010-01-10 22:38:30 (Show Source): You can put this solution on YOUR website!n=3x=\$180 s=x=\$60 l=4x=\$240 r=\$120 ----------- (3x+x+4x+120)/4=150 8x+120/4=150 8x+120=150*4 8x+120=600 8x=480 x=60
 Rectangles/255507: The perimeter of a rectangle is 68 m. The base is six less than three times the height. What is the area?1 solutions Answer 187775 by rfer(12644)   on 2010-01-10 22:32:30 (Show Source): You can put this solution on YOUR website!2x+2(3x-6)=68 2x+6x-12=68 8x=80 x=10 3x-6=24 -------------- A=lw A=24*10 A=240 sq m
 Miscellaneous_Word_Problems/255510: Electricity cost for a restaurant amount to 16 2/3 % of its monthly expenses. If monthly expenses total \$8,700, how much does electricity cost?1 solutions Answer 187774 by rfer(12644)   on 2010-01-10 22:29:22 (Show Source): You can put this solution on YOUR website!8700*.166667=\$1450
 Miscellaneous_Word_Problems/255527: You are driving 15 m/s in your car and drop a ball out the window. 5 seconds later you drop another ball out the window. How far apart on the road are the balls?1 solutions Answer 187772 by rfer(12644)   on 2010-01-10 22:26:35 (Show Source): You can put this solution on YOUR website!15*5=75 m
 Finance/255530: The amount of simple interest earned on a savings account varies jointly with time, t(in years), and the principal, p(in dollars). After 5 years, interest on \$800 in this savings account is \$260.00. What is the annual interest rate(constant of variation)?1 solutions Answer 187771 by rfer(12644)   on 2010-01-10 22:25:07 (Show Source): You can put this solution on YOUR website!I=Prt r=I/Pt r=260/(800*5) r=260/4000 r=.065=6.5%
 Linear-equations/255549: find the slope of the line by the equation 8x=48+3y1 solutions Answer 187768 by rfer(12644)   on 2010-01-10 22:21:12 (Show Source): You can put this solution on YOUR website!8x=48+3y 8x-48=3y same thing 3y=8x-48 y=8/3x-16 ----------- m=slope=8/3 or 2 2/3
 Mixture_Word_Problems/255536: PLEASE HELP ME!! a drama club is planning a bus trip to New York City to see a Broadway play. The cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost \$30 per person if 44 people go on the trip. How much will it cost per person if 60 people go on the trip? Round your answer to the nearest cent, if necessary.1 solutions Answer 187767 by rfer(12644)   on 2010-01-10 22:17:33 (Show Source): You can put this solution on YOUR website!30*44=1320 1320/60=\$22 each
 Finance/255542: Nick borrowed \$10000, part at a 12% yearly interest rate and the rest at 14%. He paid \$1310 in interest for a year. Find the amount of each loan.1 solutions Answer 187765 by rfer(12644)   on 2010-01-10 22:14:46 (Show Source): You can put this solution on YOUR website!.12x+.14(10000-x)=1310 .12x+1400-.14x=1310 -.02x=-90 x=\$4500 at 12% \$5500 at 14%
 Distributive-associative-commutative-properties/255546: Please help solve this problem step by step 2/3(x+6)=-21 solutions Answer 187764 by rfer(12644)   on 2010-01-10 22:10:23 (Show Source): You can put this solution on YOUR website!2/3(x+6)=-2 3/2*2/3(x+6)=-2*(3/2) x+6=-6/2 x+6=-3 x=-9
 Numeric_Fractions/255543: at a college baseball game 4/5 of the spectators are home team fans. the rest of the spectators are opposing team fans. there are 750 opposing team fans. A. find the fraction of spectators who are opposing team fans. B.Find the total number of spectators at the game. C.one third of the home team fans at the game attend the college how many home team fans attend the college.1 solutions Answer 187763 by rfer(12644)   on 2010-01-10 22:07:36 (Show Source): You can put this solution on YOUR website!A) 1/5 B) 750/.2=3750 C) 3000*1/3=3000/3=1000
 Percentage-and-ratio-word-problems/255493: ms carson plans to order pizza for a class party. she thinks that 4 pizzas will be enough for 10 people. counting students and parent helpers she needs to order enough pizza for 40 people. how many pizzas should she order? describe your strategy.1 solutions Answer 187737 by rfer(12644)   on 2010-01-10 20:15:08 (Show Source): You can put this solution on YOUR website!4/10=x/40 10x=160 x=16 pizzas
 Miscellaneous_Word_Problems/255495: A homeowner paid \$112 for 1,400 kilowatt hours (kWh) of electricity. At this rate, how much would, 850 KWh of electricity cost?1 solutions Answer 187734 by rfer(12644)   on 2010-01-10 20:13:19 (Show Source): You can put this solution on YOUR website!112/1400+x/850 1400x=95200 x=\$68
 Miscellaneous_Word_Problems/255497: After a firm installed new equipment, its cost of producing a business letter dropped from \$24 to \$20. What percent decrease does this represent?1 solutions Answer 187733 by rfer(12644)   on 2010-01-10 20:11:03 (Show Source): You can put this solution on YOUR website!4/24=.17=17%
 Miscellaneous_Word_Problems/255496: In a recent survey of television shows, Prime Events was watched by 48% of households polled. If there were 240 households watching this show, how many households were surveyed?1 solutions Answer 187732 by rfer(12644)   on 2010-01-10 20:09:58 (Show Source): You can put this solution on YOUR website!240/.48=500
 Money_Word_Problems/255457: The Hartnett Corporation manufactures baseball bats with Sammy Sosa's autograph stamped on. Each bat sells for \$13 and has a variable cost of \$8. There is \$20,000 in fixed costs involved in the production process. a. Compute the break-even point in units. b. Find the sales (in units) needed to earn a profit of \$15,000 1 solutions Answer 187731 by rfer(12644)   on 2010-01-10 20:08:38 (Show Source): You can put this solution on YOUR website!8x+20000=13x 20000=5x x=4000 bats ------------- 8x+20000+15000=13x 35000=5x x=7000 bats
 Miscellaneous_Word_Problems/255491: Carol, Debbie and Frieda practice the piano for a total of 23 hours per week. Carol practices twice as much as Frieda, and Debbie practices 3 hours more than Frieda every week. How many hours does each woman practice?1 solutions Answer 187730 by rfer(12644)   on 2010-01-10 20:02:27 (Show Source): You can put this solution on YOUR website!c=2x=10 hrs f=x=5 hrs d=x+3=8 hrs 2x+x+x+3=23 4x=20 x=5
 Rectangles/255446: The length of a rectangle is 8 times its width. The perimeter of the rectangle is 216 inches. What is the algebraic equation you would use to solve this problem? What is the length of the rectangle?1 solutions Answer 187729 by rfer(12644)   on 2010-01-10 19:59:44 (Show Source): You can put this solution on YOUR website!2x+2(8x)=216 2x+16x=216 18x=216 x=12 in 8x=96 in
 Percentage-and-ratio-word-problems/255488: the pizzas at grandes pizzas are really large. ms. carson thinks that 4 pizzas will be enough for 16 people. how many pizzas should she order for the 40 people at the class party1 solutions Answer 187728 by rfer(12644)   on 2010-01-10 19:55:06 (Show Source): You can put this solution on YOUR website!4/16+x/40 16x=160 x=10 pizzas
 Number-Line/255489: using a number line what is 7+(-8)1 solutions Answer 187727 by rfer(12644)   on 2010-01-10 19:53:21 (Show Source): You can put this solution on YOUR website!7+(-8) 7-8=-1
 Miscellaneous_Word_Problems/255422: Two angles are complementary. The sum of the measure of the first angle and one-forth the second angle is 64.5 degree. Find the measures of the angles. What is the measure of the smaller angle? What is the measure of the other angle?1 solutions Answer 187726 by rfer(12644)   on 2010-01-10 19:52:06 (Show Source): You can put this solution on YOUR website!64.5+.75x=90 .75x=25.5 x=34 degrees
 Money_Word_Problems/255436: Michelle was working as a clerk in a clothing store. She made a mistake and charged the wrong sales tax. She should have charged 5%, but she charged 6%. The total amouint of money she collected for the day, including sales tax, was \$620.10. How much money would she have collected if she charged the correct sales tax?1 solutions Answer 187725 by rfer(12644)   on 2010-01-10 19:45:45 (Show Source): You can put this solution on YOUR website!620.10*.94=582.90 582.90*1.05=\$612.04
 Equations/255478: 5. Solve the following equation for A : 2A/3 = 8 + 4A 1 solutions Answer 187721 by rfer(12644)   on 2010-01-10 19:33:59 (Show Source): You can put this solution on YOUR website!2a/3=8+4a 2a=(8+4a)(3) 2a=24+12a -10a=24 a=24/-10 a=-2.4
 Rectangles/255448: A rectangle has a length that is 6 times longer than its width. If the area od the rectangle is 1014 square feet, what are the length and width of the rectangle? What is the equation you would use to solve the problem?1 solutions Answer 187717 by rfer(12644)   on 2010-01-10 19:29:18 (Show Source): You can put this solution on YOUR website!x(6x)=1014 6x^2=1014 x^2=169 x=13 ft 6x=78 ft
 Equations/255453: trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 mph and train B is traveling at 104 mph. Train A passes a station at 6:15 pm. If train B passes the same station at 6:45 pm, at what time will train B catch up to train A? 1 solutions Answer 187715 by rfer(12644)   on 2010-01-10 19:25:05 (Show Source): You can put this solution on YOUR website!A has a 50 mile lead Overtake speed is 4 mph 50/4=12.5 hrs 7:15 am next day